Rational word problem

Question

A plane can go 560 miles with the wind in the same amount of time it takes to go 410 miles against the wind. If the wind is 6 miles per hour, what is the average speed of the plane?

Answer 1

let p = plane speed and T equal the time flying

(p+6)T=410

(p-6)T=560

(p+6)/410=T

(p-6)/560=T

Set the two expressions for T equal to each other and solve for p.